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Curvature Flow of Complete Convex Hypersurfaces in Hyperbolic Space

โœ Scribed by Ling Xiao


Book ID
120956728
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
469 KB
Volume
23
Category
Article
ISSN
1050-6926

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Hypersurfaces with constant mean curvatu
โœ Jean-Marie Morvan; Wo Bao-Qiang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 895 KB

In this article, we prove the following theorem: A complete hypersurface of the hyperbolic space form, which has constant mean curvature and non-negative Ricci curvature Q, has non-negative sectional curvature. Moreover, if it is compact, it is a geodesic distance sphere; if its soul is not reduced